What is the workflow when using Subsurf?
Looking at the sphere i see things go wrong.

Your viewport subdivision is set to 6
while your render viewport is set to 2 
Normally render is set higher then viewport, so i guess you saw to many facets thus... i'm thinking why.

More is wrong, your highly subsurfing a sphere why ?.
Go te edit mode, select all faces, go to shading/UV make sure to set faces to smooth. now the most simple sphere with a subdiv of 2 or 3 is likely enough.